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Finding the Fourth Proportional to 208,362.21, 287,539.82 and 112,868.88

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Solution

The fourth proportional to 208,362.21, 287,539.82 and 112,868.88 is: 155,759.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,362.21 : 287,539.82 = 112,868.88 : x
  2. Step 2: Convert to fraction form
    208,362.21/287,539.82 = 112,868.88/x
  3. Step 3: Cross multiply
    208,362.21x = 287,539.82 × 112,868.88
  4. Step 4: Simplify right side
    208,362.21x = 32,454,297,438.80
  5. Step 5: Solve for x
    x = 32,454,297,438.80/208,362.21
  6. Step 6: Final answer
    x = 155,759.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.